How to find the correct Win7 SP1 download file

I had to restore the recovery partition on a very old PC that had Win 7--with no service packs.  It installed just fine, and shows that the PC is at Windows 7 copyright 2009, but plenty of strange things are happening.  So, I wanted to update to the latest, but when I go to Windows update, it won't 'check for updates', saying Windows Update cannot current check for updates, because the service is not running"--even though services.msc shows that it IS running.

So I thought I might be able to clear up a lot of problems by going to the MS site and downloading SP1, but then it gets more confusing by giving me about a dozen different possible files.  Most have "64" in the filename, but with this being an older 32-bit system, I assume I should pick one that has "X86" in the name.  But even then I find two such filenames:

Windows_Win7SP1.7601.17514.101119-1850.X86CHK.Symbols.msi

Windows_Win7SP1.7601.17514.101119-1850.X86FRE.Symbols.msi.

Any idea if I am in the right place, and how to know which SP1 file to download for a 32 bit Windows 7 system?  TIA